2(x-21)=44-4(x-4)

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Solution for 2(x-21)=44-4(x-4) equation:


Simplifying
2(x + -21) = 44 + -4(x + -4)

Reorder the terms:
2(-21 + x) = 44 + -4(x + -4)
(-21 * 2 + x * 2) = 44 + -4(x + -4)
(-42 + 2x) = 44 + -4(x + -4)

Reorder the terms:
-42 + 2x = 44 + -4(-4 + x)
-42 + 2x = 44 + (-4 * -4 + x * -4)
-42 + 2x = 44 + (16 + -4x)

Combine like terms: 44 + 16 = 60
-42 + 2x = 60 + -4x

Solving
-42 + 2x = 60 + -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.
-42 + 2x + 4x = 60 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-42 + 6x = 60 + -4x + 4x

Combine like terms: -4x + 4x = 0
-42 + 6x = 60 + 0
-42 + 6x = 60

Add '42' to each side of the equation.
-42 + 42 + 6x = 60 + 42

Combine like terms: -42 + 42 = 0
0 + 6x = 60 + 42
6x = 60 + 42

Combine like terms: 60 + 42 = 102
6x = 102

Divide each side by '6'.
x = 17

Simplifying
x = 17

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